100101100986 has 144 divisors (see below), whose sum is σ = 240749832960. Its totient is φ = 29952933120.

The previous prime is 100101100937. The next prime is 100101100993. The reversal of 100101100986 is 689001101001.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77537001 + ... + 77538291.

It is an arithmetic number, because the mean of its divisors is an integer number (1671873840).

Almost surely, 2^100101100986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101100986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120374916480).

100101100986 is an abundant number, since it is smaller than the sum of its proper divisors (140648731974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101100986 is a wasteful number, since it uses less digits than its factorization.

100101100986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 100101100986 its reverse (689001101001), we get a palindrome (789102201987).

The spelling of 100101100986 in words is "one hundred billion, one hundred one million, one hundred thousand, nine hundred eighty-six".